Question

A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following:

Options

• the speed is high at the wider end and high at the narrow end.

• the speed is low at the wider end and high at the narrow end.

• the speed is same at both ends in a stream line flow.

• the liquid flows with uniform velocity in the tube.

Answer 1

The speed is low at the wider end and high at the narrow end.

Explanation:

According to the equation of continuity (A₁v₁ = A₂v₂),  for an incompressible fluid, the product of the cross-sectional area and fluid velocity is constant. In a truncated cone, the wider end has a larger area (A), resulting in a lower velocity (v), while the narrow end has a smaller area, causing the liquid to speed up